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Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages

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CFA® EXAM REVIEW

FORMULA SHEETS

COVERS ALL TOPICS

IN LEVEL I

LEVEL I

2016

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Published by John Wiley & Sons, Inc., Hoboken, New Jersey.

Published simultaneously in Canada

No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers,

MA 01923, (978) 750-8400, fax (978) 646-8600, or on the Web at www.copyright.com Requests

to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online

at http://www.wiley.com/go/permissions

Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose No warranty may be created or extended by sales representatives or written sales materials The advice and strategies contained herein may not be suitable for your situation You should consult with a professional where appropriate Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages

For general information on our other products and services or for technical support, please contact our Customer Care Department within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317) 572-4002

Wiley publishes in a variety of print and electronic formats and by print-on-demand Some material included with standard print versions of this book may not be included in e-books or in print-on-demand If this book refers to media such as a CD or DVD that is not included in the version you purchased, you may download this material at http://booksupport.wiley.com For more information about Wiley products, visit www.wiley.com

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Financial analysis techniqUes

© Wiley 2016 all Rights Reserved any unauthorized copying or distribution will constitute an infringement of copyright

46

Financial Analysis Techniques

Inventory Turnover

Cost of goods sold Average inventory

Inventory turnover=

Days of Inventory on Hand

= 365 Inventory turnover

Days of inventory on hand (DOH)

Receivables Turnover

= Revenue Average receivables

Receivables turnover

Days of Sales Outstanding

= ( ) 365

Receivables turnover

Days of sales outstanding DSO

Payables Turnover

= Purchases Average trade payables

Payables turnover

Number of Days of Payables

= 365 Payables turnover

Number of days of payables

Working Capital Turnover

= Revenue Average working capital

Working capital turnover

Fixed Asset Turnover

= Revenue Average fixed assets

Fixed asset turnover

Total Asset Turnover

Revenue Average total assets

Total asset turnover=

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Current Ratio

= Current assets Current liabilities

Current ratio

Quick Ratio

=Cash Short-term marketable investments Receivables+ +

Current liabilities

Quick ratio

Cash Ratio

=Cash Short-term marketable investments+

Current liabilities

Cash ratio

Defensive Interval Ratio

= Cash Short-term marketable investments Receivables+ +

Daily cash expenditures

Defensive interval ratio

Cash Conversion Cycle

=DSO DOH Number of days of payables+ −

Cash conversion cycle

Debt‐to‐Assets Ratio

=

- - Total debt

Total assets

Debt to assets ratio

Debt‐to‐Capital Ratio

- - Total debt

Total debt Shareholders’ equity

Debt to capital ratio=

+

Debt‐to‐Equity Ratio

- - Total debt

Shareholders’ equity

Debt to equity ratio=

Financial Leverage Ratio

= Average total assets Average total equity

Financial leverage ratio

Interest Coverage Ratio

= EBIT Interest payments

Interest coverage ratio

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Financial analysis techniqUes

© Wiley 2016 all Rights Reserved any unauthorized copying or distribution will constitute an infringement of copyright

48

Fixed Charge Coverage Ratio

= +

+

EBIT Lease payments Interest payments Lease payments

Fixed charge coverage ratio

Gross Profit Margin

= Gross profit Revenue

Gross profit margin

Operating Profit Margin

= Operating profit Revenue

Operating profit margin

Pretax Margin

=EBT (earnings before tax, but after interest)

Revenue

Pretax margin

Net Profit Margin

= Net profit Revenue

Net profit margin

Return on Assets

= Net income Average total assets

ROA

= Net income Interest expense (1 Tax rate)+ −

Average total assets

Adjusted ROA

Operating income or EBIT Average total assets

Operating ROA=

Return on Total Capital

=

+ +

EBIT Short-term debt Long-term debt Equity

Return on total capital

Return on Equity

= Net income Average total equity

Return on equity

Return on Common Equity

= Net income Preferred dividends− Average common equity

Return on common equity

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DuPont Decomposition of ROE

Net income Average shareholders’ equity

ROE=

2‐Way Dupont Decomposition

Net income Average total assets

Average total assets Average shareholders’ equity ROA Leverage

↓ ↓

3‐Way Dupont Decomposition

Net income Revenue

Revenue Average total assets

Average total assets Average shareholders’ equity Net profit margin Asset turnover Leverage

↓ ↓ ↓

5‐Way Dupont Decomposition

Interest burden Asset turnover

Net income EBT

EBT EBIT

EBIT Revenue

Revenue Average total assets

Average total assets Avg shareholders’ equity Tax burden EBIT margin Leverage

↓ ↓

= × × × ×

ROE

Price‐to‐Earnings Ratio

=

/ Price per share

Earnings per share

P E

Price to Cash Flow

= / Price per share

Cash flow per share

P CE

Price to Sales

/ Price per share

Sales per share

P S=

Price to Book Value

Price per share

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